Umesh's teacher aksed him to find the area of rectangle below.Which of these expressions give the area of the above rectangle?

of the following rectangle is shaded.A rectangle divided into 3 equal parts. The second part is shaded.Which of the following rectangles have exactly   of their area shaded?

Leticia cuts a square out of a rectangular piece of paper, as shown below.The square Leticia cut out has a side length of 4 cm.Which of these expressions gives the area of Leticia's piece of paper after cutting out the square?(34 ×\times× 14) −-− (4 ×\times× 4)(34 + 14) −-− (4 ×\times× 4)(34 −-− 14) + (4 ×\times× 4)(30 ×\times× 10) + (4 ×\times× 4)

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:(x − 4)(3x − 1)Which of the following simplified expressions represents the area of the floor of the conference room in square meters? x2 − 13x + 4 3x2 − 13x + 4 3x2 − 11x + 4 x2 − 12x + 4

The diagram shows a right-angled triangle and a rectangle.The area of the triangle is twice the area of the rectangle.Given that ◂⋅▸=◂⋅▸, find the area of the rectangle.Input note: give your answer correct to 2 decimal places.(5 marks)

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)